Writing Equations Card Sort

Writing Equations Card Sort
File Type

PDF

(993 KB|14 pages)
Standards
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  • Product Description
  • Standards

This lesson unit is intended to help you assess how well students are able to understand how to model a linear relationship between two quantities and determine the rate of change (slope) from two (x,y) values.

Included in this lesson are:

  • Directions, grade level common core standards, and mathematical practices
  • Formative assessment (pre-test) task
  • Card sort activity with concept development of linear equations
  • Extension activity for students to deepen their understanding of linear equations
  • Summative assessment (post-test) task
  • Answer keys for all the assessments and activities

More Card Sorts:

8th Grade Math Card Sort Activity Lessons and Cut & Paste Activity BUNDLE

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Log in to see state-specific standards (only available in the US).
Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 Γ— 8 equals the well remembered 7 Γ— 5 + 7 Γ— 3, in preparation for learning about the distributive property. In the expression π‘₯Β² + 9π‘₯ + 14, older students can see the 14 as 2 Γ— 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective. They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 – 3(π‘₯ – 𝑦)Β² as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers π‘₯ and 𝑦.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (𝘹, 𝘺) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Total Pages
14 pages
Answer Key
Included
Teaching Duration
90 minutes
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